Question

If F(x) and G(x) are two functions such that F(G(x)) = x, then F(x) and G(x) are _____.

A. complementary functions
B. quadratic functions
C. opposite functions
D. inverse functions

Answer 1

If F(x) and G(x) are two functions such that F(G(x)) = x, then F(x) and G(x) are inverse functions.

Step-by-step explanation:

If F(x) and G(x) are two functions such that F(G(x)) = x, then F(x) and G(x) are inverse functions.

Inverse functions are two functions that undo each other when applied in succession. In this case, applying G(x) first, and then F(x) reverses the effect and returns to the original input x.

For example, if F(x) = 2x and G(x) = x/2, then F(G(x)) = F(x/2) = 2(x/2) = x.